Velocity in Pneumatic Conveying Calculator

✖Gas Flow Rate is the Flow of the Gas into the Ractor.ⓘ Gas Flow Rate [G_S]			+10% -10%
✖Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%
✖The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.ⓘ Dimensionless Diameter [d'_p]			+10% -10%
✖Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.ⓘ Diameter of Particle [d_p]			+10% -10%

✖Velocity in Pneumatic Conveying refers to the Velocity in the Conveying Regimes.ⓘ Velocity in Pneumatic Conveying [u_FF-PC]

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Formula

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Velocity in Pneumatic Conveying

Formula

`"u"_{"FF-PC"} = ((21.6*(("G"_{"S"}/"ρ"_{"gas"})^0.542)*("d'"_{"p "}^0.315))*sqrt("[g]"*"d"_{"p"}))^(1/1.542)`

Example

`"25.43502m/s"=((21.6*(("55m³/s"/"1.225kg/m³")^0.542)*(("3.2")^0.315))*sqrt("[g]"*"0.0367m"))^(1/1.542)`

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Velocity in Pneumatic Conveying Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542)
u_FF-PC = ((21.6*((G_S/ρ_gas)^0.542)*(d'_p^0.315))*sqrt([g]*d_p))^(1/1.542)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity in Pneumatic Conveying - (Measured in Meter per Second) - Velocity in Pneumatic Conveying refers to the Velocity in the Conveying Regimes.
Gas Flow Rate - (Measured in Cubic Meter per Second) - Gas Flow Rate is the Flow of the Gas into the Ractor.
Density of Gas - (Measured in Kilogram per Cubic Meter) - Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
Dimensionless Diameter - The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.
Diameter of Particle - (Measured in Meter) - Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.

STEP 1: Convert Input(s) to Base Unit

Gas Flow Rate: 55 Cubic Meter per Second --> 55 Cubic Meter per Second No Conversion Required
Density of Gas: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Dimensionless Diameter: 3.2 --> No Conversion Required
Diameter of Particle: 0.0367 Meter --> 0.0367 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_FF-PC = ((21.6*((G_S/ρ_gas)^0.542)*(d'_p^0.315))*sqrt([g]*d_p))^(1/1.542) --> ((21.6*((55/1.225)^0.542)*(3.2^0.315))*sqrt([g]*0.0367))^(1/1.542)

Evaluating ... ...

u_FF-PC = 25.435016550208

STEP 3: Convert Result to Output's Unit

25.435016550208 Meter per Second --> No Conversion Required

FINAL ANSWER

25.435016550208 ≈ 25.43502 Meter per Second <-- Velocity in Pneumatic Conveying

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » Various Fluidized Reactors » Velocity in Pneumatic Conveying

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Velocity in Pneumatic Conveying

Go Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542)

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Velocity in Pneumatic Conveying Formula

What are Pneumatic Conveying ?

In the context of fluidized reactors, pneumatic conveying is often employed to introduce or transport solid particles within the reactor. The use of pneumatic conveying in fluidized bed reactors offers several advantages, including efficient mixing, improved heat and mass transfer, and enhanced reaction rates.

What are Fluidized Reactors ?

Fluidized reactors are a type of chemical reactor that use a fluidized bed as a key component for carrying out various chemical processes. In a fluidized bed reactor, a solid material is suspended and behaves like a fluid when a gas or liquid flows through it. This creates a dynamic system with characteristics of both a solid and a fluid.

How to Calculate Velocity in Pneumatic Conveying?

Velocity in Pneumatic Conveying calculator uses Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542) to calculate the Velocity in Pneumatic Conveying, The Velocity in Pneumatic Conveying formula is defined as the Velocity, typically expressed as the air or gas velocity at the Point of Injection or Introduction of the Solid Particles into the Conveying System. Velocity in Pneumatic Conveying is denoted by u_FF-PC symbol.

How to calculate Velocity in Pneumatic Conveying using this online calculator? To use this online calculator for Velocity in Pneumatic Conveying, enter Gas Flow Rate (G_S), Density of Gas (ρ_gas), Dimensionless Diameter (d'_p) & Diameter of Particle (d_p) and hit the calculate button. Here is how the Velocity in Pneumatic Conveying calculation can be explained with given input values -> 25.43502 = ((21.6*((55/1.225)^0.542)*(3.2^0.315))*sqrt([g]*0.0367))^(1/1.542).

FAQ

What is Velocity in Pneumatic Conveying?

The Velocity in Pneumatic Conveying formula is defined as the Velocity, typically expressed as the air or gas velocity at the Point of Injection or Introduction of the Solid Particles into the Conveying System and is represented as u_FF-PC = ((21.6*((G_S/ρ_gas)^0.542)*(d'_p^0.315))*sqrt([g]*d_p))^(1/1.542) or Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542). Gas Flow Rate is the Flow of the Gas into the Ractor, Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure, The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase & Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.

How to calculate Velocity in Pneumatic Conveying?

The Velocity in Pneumatic Conveying formula is defined as the Velocity, typically expressed as the air or gas velocity at the Point of Injection or Introduction of the Solid Particles into the Conveying System is calculated using Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542). To calculate Velocity in Pneumatic Conveying, you need Gas Flow Rate (G_S), Density of Gas (ρ_gas), Dimensionless Diameter (d'_p) & Diameter of Particle (d_p). With our tool, you need to enter the respective value for Gas Flow Rate, Density of Gas, Dimensionless Diameter & Diameter of Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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